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Finding the Fourth Proportional to 2,771.51, 4,157.28 and 797.19

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Solution

The fourth proportional to 2,771.51, 4,157.28 and 797.19 is: 1,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.51 : 4,157.28 = 797.19 : x
  2. Step 2: Convert to fraction form
    2,771.51/4,157.28 = 797.19/x
  3. Step 3: Cross multiply
    2,771.51x = 4,157.28 × 797.19
  4. Step 4: Simplify right side
    2,771.51x = 3,314,142.04
  5. Step 5: Solve for x
    x = 3,314,142.04/2,771.51
  6. Step 6: Final answer
    x = 1,195.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.